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| 1. |
What are the properties of logarithms. |
| Answer» There are four basic rules of logarithms as given below:-\tLogb\xa0(mn)= logb\xa0m + logb\xa0n. In this rule, the multiplication of two logarithmic values is equal to the addition of their individual logarithms. For example- log3\xa0( 2y ) = log3\xa0(2) + log3\xa0(y)\tLogb\xa0(m/n)= logb\xa0m – logb\xa0This is called as\xa0division rule. Here the division of two logarithmic values is equal to the difference of each logarithm. For example, log3\xa0( 2/ y ) = log3\xa0(2) -log3\xa0(y)\tLogb\xa0(mn) = n logb\xa0m This is the exponential rule of logarithms. The logarithm of m with a rational exponent is equal to the exponent times its logarithm.\t\xa0Logb\xa0m = loga\xa0m/ loga\xa0b\xa0 | |